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Nonlinear piezoelectric effects - towards physics-based computational modelling of micro-cracking, fatigue, and switching

Menzel, Andreas LU ; Utzinger, J and Arockiarajan, A (2008) SMART DEVICES: MODELING OF MATERIAL SYSTEMS: An International Workshop In AIP Conference Proceedings 1029(1). p.209-220
Abstract
Piezoelectric ceramics -- as one widely commercialised group of smart materials -- exhibit a great potential for various engineering applications. Their high-frequency capabilities are in particular attractive for actuator and sensor devices, which nowadays are present in daily-life-technologies such as cellular phones, fuel injection systems, and so forth. At high loading levels however, severely nonlinear behaviour of these materials is observed which, from the control point of view, must be further investigated in order to be able to precisely account for such effects within the design of intelligent systems. The reasons for these nonlinearities are manifold and, even investigated within the last decades, not fully understood.... (More)
Piezoelectric ceramics -- as one widely commercialised group of smart materials -- exhibit a great potential for various engineering applications. Their high-frequency capabilities are in particular attractive for actuator and sensor devices, which nowadays are present in daily-life-technologies such as cellular phones, fuel injection systems, and so forth. At high loading levels however, severely nonlinear behaviour of these materials is observed which, from the control point of view, must be further investigated in order to be able to precisely account for such effects within the design of intelligent systems. The reasons for these nonlinearities are manifold and, even investigated within the last decades, not fully understood. Nevertheless, two important sources for these observations are so-called micro-cracking, together with fatigue phenomena, as well as switching or rather phase transformations. Accordingly, the main goal of this contribution is to study these effects by means of developing related constitutive models that can be embedded into iterative algorithmic schemes such as the finite element method. One the one hand, the grain-structure of a piezoceramic specimen will be modelled via the direct incorporation of the grain-boundaries as so-called interface elements. The underlying cohesive-like constitutive law of this layer includes both degrees of freedom of the surrounding bulk material -- or rather the jumps in these fields -- namely displacements and the electric potential. Based on the resulting traction-separation-type relations, micro-cracking is directly accounted for on this micro-level. Moreover, the constitutive law of the interfacial layer is supplemented by additional variables that enable the formulation of fatigue under cyclic loading conditions. On the other hand, phase transformations -- modelled in terms of an energy-based switching criterion -- are discussed and embedded into an iterative finite element context. Symmetry relations of the underlying unit cells are directly included so that the switching model accounts for the micro-mechanical properties of the piezoelectric materials of interest. At this stage, representative numerical simulations of polycrystalline specimens are based on straightforward averaging-techniques, while the combination of the developed micro-cracking model (grain boundaries) with the proposed switching model (bulk) constitutes future research. (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
AIP Conference Proceedings
volume
1029
issue
1
pages
209 - 220
publisher
American Institute of Physics
conference name
SMART DEVICES: MODELING OF MATERIAL SYSTEMS: An International Workshop
ISBN
978-0-7354-0553-0
DOI
10.1063/1.2971985
language
English
LU publication?
yes
id
efc05bbb-1080-4be1-9008-db8ee46e7635 (old id 1515229)
date added to LUP
2009-12-10 11:19:01
date last changed
2016-04-16 09:37:51
@inproceedings{efc05bbb-1080-4be1-9008-db8ee46e7635,
  abstract     = {Piezoelectric ceramics -- as one widely commercialised group of smart materials -- exhibit a great potential for various engineering applications. Their high-frequency capabilities are in particular attractive for actuator and sensor devices, which nowadays are present in daily-life-technologies such as cellular phones, fuel injection systems, and so forth. At high loading levels however, severely nonlinear behaviour of these materials is observed which, from the control point of view, must be further investigated in order to be able to precisely account for such effects within the design of intelligent systems. The reasons for these nonlinearities are manifold and, even investigated within the last decades, not fully understood. Nevertheless, two important sources for these observations are so-called micro-cracking, together with fatigue phenomena, as well as switching or rather phase transformations. Accordingly, the main goal of this contribution is to study these effects by means of developing related constitutive models that can be embedded into iterative algorithmic schemes such as the finite element method. One the one hand, the grain-structure of a piezoceramic specimen will be modelled via the direct incorporation of the grain-boundaries as so-called interface elements. The underlying cohesive-like constitutive law of this layer includes both degrees of freedom of the surrounding bulk material -- or rather the jumps in these fields -- namely displacements and the electric potential. Based on the resulting traction-separation-type relations, micro-cracking is directly accounted for on this micro-level. Moreover, the constitutive law of the interfacial layer is supplemented by additional variables that enable the formulation of fatigue under cyclic loading conditions. On the other hand, phase transformations -- modelled in terms of an energy-based switching criterion -- are discussed and embedded into an iterative finite element context. Symmetry relations of the underlying unit cells are directly included so that the switching model accounts for the micro-mechanical properties of the piezoelectric materials of interest. At this stage, representative numerical simulations of polycrystalline specimens are based on straightforward averaging-techniques, while the combination of the developed micro-cracking model (grain boundaries) with the proposed switching model (bulk) constitutes future research.},
  author       = {Menzel, Andreas and Utzinger, J and Arockiarajan, A},
  booktitle    = {AIP Conference Proceedings},
  isbn         = {978-0-7354-0553-0},
  language     = {eng},
  number       = {1},
  pages        = {209--220},
  publisher    = {American Institute of Physics},
  title        = {Nonlinear piezoelectric effects - towards physics-based computational modelling of micro-cracking, fatigue, and switching},
  url          = {http://dx.doi.org/10.1063/1.2971985},
  volume       = {1029},
  year         = {2008},
}